Soochow Journal of Mathematics
نویسندگان
چکیده
In this article we introduce the notion of different types of statistically convergent and statistically null fuzzy real-valued double sequence spaces. We study their different properties like solidness, symmetric, convergence free, sequence algebra etc. The fuzzy real-valued Cesàro summable double sequence space is introduced. A relation between strongly p-Cesàro summability and bounded statistically convergent double sequences has been established.
منابع مشابه
Soochow Journal of Mathematics
In this article we define different type of statistically convergent, statistically null and statistically bounded double sequence spaces on a seminormed space by Orlicz functions. We study their different properties like solidness, denseness, symmetricity, completeness etc. We obtain some inclusion relations.
متن کاملThe Artinian property of certain graded generalized local chohomology modules
Let $R=oplus_{nin Bbb N_0}R_n$ be a Noetherian homogeneous ring with local base ring $(R_0,frak{m}_0)$, $M$ and $N$ two finitely generated graded $R$-modules. Let $t$ be the least integer such that $H^t_{R_+}(M,N)$ is not minimax. We prove that $H^j_{frak{m}_0R}(H^t_{R_+}(M,N))$ is Artinian for $j=0,1$. Also, we show that if ${rm cd}(R_{+},M,N)=2$ and $tin Bbb N_0$, then $H^t_{frak{m}_0R}(H^2_...
متن کاملSoochow Journal of Mathematics
In this paper we define the sequence space ∆v (X) = {x ∈ w : (∆v xk) ∈ X}, (m ∈ N) , where ∆v xk = ∑m i=0 (−1) ( m i ) xk+ivk+i and X is any sequence space. We give some relations related to this space. Furthermore we introduce the concept of ∆v −statistical convergence and give some inclusion relation between ∆v (wp)−convergence and ∆v −statistical convergence.
متن کاملCastelnuovo-Mumford regularity of products of monomial ideals
Let $R=k[x_1,x_2,cdots, x_N]$ be a polynomial ring over a field $k$. We prove that for any positive integers $m, n$, $text{reg}(I^mJ^nK)leq mtext{reg}(I)+ntext{reg}(J)+text{reg}(K)$ if $I, J, Ksubseteq R$ are three monomial complete intersections ($I$, $J$, $K$ are not necessarily proper ideals of the polynomial ring $R$), and $I, J$ are of the form $(x_{i_1}^{a_1}, x_{i_2}^{a_2}, cdots, x_{i_l...
متن کاملSoochow Journal of Mathematics
This paper deals with the steady state behaviour of an Mx/G/1 queuing system with two different vacation periods under multiple vacation policy, where length of the first vacation is different from the rest of the vacations. We are concerned with the distribution of the queue size at busy period initiation epoch and distribution of the unfinished work. Further, we present a simple transform fre...
متن کامل